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Finding the Fourth Proportional to 10,673.71, 14,732.85 and 6,199.47

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Solution

The fourth proportional to 10,673.71, 14,732.85 and 6,199.47 is: 8,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.71 : 14,732.85 = 6,199.47 : x
  2. Step 2: Convert to fraction form
    10,673.71/14,732.85 = 6,199.47/x
  3. Step 3: Cross multiply
    10,673.71x = 14,732.85 × 6,199.47
  4. Step 4: Simplify right side
    10,673.71x = 91,335,856.76
  5. Step 5: Solve for x
    x = 91,335,856.76/10,673.71
  6. Step 6: Final answer
    x = 8,557.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.